Decrypting Codes

On Friday we learned about creating and breaking codes using matrices. This is a good example of how adding and subtracting matrices can be used. Be sure to get notes from someone if you were not in class. You should know how this process works for future assessments.

Coming up:
- We will continue looking at matrices this week.

Posting for Points:
The symbol A21 corresponds to what element of a matrix "A"?

Logic Puzzle Extra Credit

I was not in class today but hopefully you worked on logic puzzles for extra credit on the last test!

Coming up:
- We will continue looking at matrices tomorrow

Posting for Points:
Were the logic puzzles difficult?

Matrices

Today we began looking at exactly how matrices are created. We talked about the size of the matrix, and how to express a particular element of a given matrix. You should complete most of this worksheet before Wednesday.

Remember that I will not be in class tomorrow.

Coming up:
- I will return your tests Wednesday
- You should complete the worksheet from today before class on Wednesday

Posting for Points:
What type of food did we use in our class example of matrices today?

Fast Food Election

Today we completed one more practice run dealing with our three algorithms of election theory. Be sure you study hard!

Coming up:
-Test Tomorrow (or Quest, if you will)

Posting for Points:
Exactly what is a Quest?

Election Theory Handout

Today I gave out a handout dealing with our three algorithms for Election Theory. You should have completed this in class, or be finishing it for homework.

Coming up:
- No homework

Posting for Points:
Free posting point.

Election Theory

Today we talked about 3 different algorithms dealing with Election Theory. Remember that each of these methods require the use of a preference schedule! The three algortithms discussed were: the Borda method, Runoff method, and Sequential Runoff method. Be sure that you have really clear notes on each of these processes. It is essential that you know how to follow them, but do not worry too much about how they work. You should also know the difference between plurality and majority winners. Tomorrow we will do an activity in class dealing with these different methods.

Have a great week!

Coming up:
- Tomorrow we will have an activity dealing with these three algorithms of Election Theory

Posting for Points:
What percent of the votes must the majority winner have?

Outward Bound

We will be in Outward Bound all week! You should turn in your Logic Puzzle mini-project today.

Coming up:
- Lots of walking

Posting for Points:
Free posting points all week!

Paper Evaluation

Today we read the research paper from last night's homework dealing with Algorithms of Logic Puzzles. As you saw there were several topics incorporated into this paper that relate to everything we have covered so far this year. Hopefully you have gone through the paper and identified this items by now. I also handed out a question sheet to go along with the paper. If you were not in class today, you should pick up a copy tomorrow. All of the material from this week will be collected on Monday!

Have a great time at the Fall Festival!!!

Coming up:
- Tomorrow you will be using the algorithms defined in this paper to create your own logic puzzle

Posting for Points:
What is an algorithm?

Logic Puzzles

Today we worked on logical puzzles involving Football and Jack-o-lanterns. Be sure you complete these and keep up with ALL papers as you will use them in your upcoming project!

For tonight you must print out the Research Paper from the following website:

http://www.mysterymaster.com/links/592FinalReport.pdf

It is a 12-14 page paper. You may begin reading it if you want, but you will get a handout tomorrow explaining exactly what you are going to analyze.

Have a great night!

Coming up:
- Tonight you should print out the paper from the website above
- Tomorrow we will begin analyzing this paper

Posting for Points:
Find out what a "flanker" is in football? (from our logic puzzle today)

Algorithms and Bubble Sorting

Today we finished up our discussion about the town of Iceberg and their Ice Cream shops. You should have some understanding of an algorithm by now, and should be able to complete the following definitions/tasks on any upcoming assessments:
- Define an Algorithm
-Brute Force Algorithm
-Greedy Algorithm
-Bubble Sorting

We discussed the Algorithm to follow for bubble sorting towards the end of class. You need to show ALL steps of a bubble sort.

Have a great week!

Coming up:
- We will finish up with algorithms this week and start looking at counting techniques
- HW: You have two bubble sorts to complete for homework tonight

Posting for Points:
Did you enjoy the Ice Cream shop puzzle?

Ice Cream Shops

Today we completed an activity dealing with Ice Cream Shops in the town of Iceberg. As you will find out tomorrow your puzzle solving skills, as well as your puzzle making skills, all involved some form of an algorithm. We will talk specifically about different types of algorithms tomorrow.

Have a great week!

Coming up:
- You will receive your midterms tomorrow.

Posting for Points:
What was the least number of Ice Cream Shops in the town of Iceberg, according to the puzzle today?

MIDTERM

Today you took your Midterm. Hopefully you didn't think it was too hard!

Have a great weekend!!!

Coming up:
- We will begin

Posting for Points:
For what colleges have you already turned in applications?

Study!!!

Study for your MIDTERM!!!!

Coming up:
- Midterm on Friday!!

Posting for Points:
Enjoy yet another free posting point!! (tell me how excited you are if you want)

Midterm Review

Today we went over the homework from Monday and reviewed for the Midterm. Be sure that you are studying your old tests and correcting any mistakes you made.

Coming up:
- Midterm this Friday!!!

Posting for Points:
Free posting point tonight (everyone gets credit for a post). You can still say something if you want!!!

Geometric Homework and Midterm

Today we spent most of the class period reviewing your homework from this weekend. Be sure that you have corrected the equation from worksheet 11-4!!!! If you were not in class you need to get the equation from someone.

You may want to review your equations for homework!!!

The midterm is also this week and will consist of information from ALL units covered so far. That means it will consist of: Fair Division, Truth Tables, Propositions, Sets, Sums and Sequences!!! Review your tests and your notes to prepare.

Have a great week!

Coming up:
- Midterm this FRIDAY!!! You should be reviewing your old tests and notes.

Posting for Points:
What should you study tonight for homework?

Geometric Sequences and Series

Today we looked at Geometric Sequences and Series. Be sure that you include these equations on your chart because it will be very helpful to have all of these equations in one location! Be sure that you have BOTH worksheets completed for Monday. You will also need your SAT folder next week to turn in Monday or Tuesday.

Have a great weekend!

GO HEELS!!! Check out Late Night With Roy at Tarheelblue.com this weekend

Coming up:
- Homework: Worksheets 11-3 and 11-4 on Geometric Sequences
- Midterm next week!

Posting for Points:
Which school will have the best college basketball team this year????? (There is only one answer)

Test Corrections

For those of you in class today you completed test corrections. If you were not in class you must see me tomorrow to do these. Please review the material that you had trouble with because this information WILL be on the midterm!!!

After corrections we looked at the worksheet (11-2) on Arithmetic Series. Everyone seemed to understand this concept well so we will move on to Geometric sequences and series tomorrow.

Coming up:
- Geometric Sequences tomorrow
- Midterm next Friday!

Posting for Points:
What do you think is the best way to prepare for the midterm?

Fibonacci Numbers

Leonardo Fibonacci was a cool dude. Today we discussed one of his "discoveries" (although he was really just the first to publish this finding). Fibonacci used a hypothetical situation involving rabbits to create the "Fibonacci Sequence." (1, 1, 2, 3, 5, 8, .....) Be sure that you know how this sequence works and how to find the first few terms of the sequence.

Fibonacci numbers can be found everywhere, especially throughout nature. We looked at several examples in class today. In groups you created the famous Fibonacci Spiral, which we will put up on the wall soon. Take a look at the website tonight (the link is on the right), and look specifically at some of the objects with spirals. You will need to know this information for upcoming tests/quizzes!

Coming up:
- Tonight your only homework is to check out the website on Fibonacci
- Keep in mind that we will have a midterm very soon! More about this on Friday.

Posting for Points:
How many spirals does the website say a sunflower usually has? (more than one possible answer)

Arithmetic Series

Today we extended our knowledge from sequences to series. Series is just another word for the total sum of a sequence. Be sure that you have the equations for these topics on your chart that was given out last week.

Coming up:
- Homework: The front of the "Arithmetic Series" worksheet that was given out today. You should also respond to the posting for points question dealing with Fibonacci numbers.
- Tomorrow is the last day to make up the Test from Friday.

Posting for Points:
Give two facts about Fibonacci numbers. What are they? How do we find them? Where do they exist? Why are they important? (Use these questions to guide your search and please do not copy the other posts. Find something original.)

Test 2

Today you took your second test!! Once again they looked good as I glanced through them today. I will give them back on Tuesday.

Enjoy the LONG weekend!

Coming up:
- You will have a cumulative midterm next Friday (October 12th)
- We will continue on with Sequences and Sums on Tuesday

Posting for Points:
Do you have class on Monday?

Arithmetic Series

Today we started talking about Arithmetic Sequences. I passed out two different handouts that you should come by my office and get if you were not in class today. One was a table for you to keep all of the equations for Sequences and Series together, and the other was your classwork/homework dealing with Arithmetic Sequences. The handout has a great example for you to reference as well as the equation. The only other term we discussed is the Common Difference. This is the difference between two numbers in a sequence. For example, in the sequence 2, 4, 6, 8 the common difference between each number would be 2. Common difference is designated by a "d" in the equation for arithmetic sequences.

Remember that you have a TEST tomorrow! The test will be cumulative!

Coming up:
- TEST tomorrow
- We will begin Arithmetic Series on Tuesday
- You will have a "midterm" test on October 17th

Posting for Points:
What is the "common difference"?

Review for Test

Today we went over the review sheet for your test. The test was obviously not today and was moved to FRIDAY (October 5th). Please email me any questions or come after school tomorrow if you are still having trouble with any of the concepts. The test will be on everything that we have done with sets and with functions (with one or two cumulative questions). Be sure that you are writing everything in the correct notation!

Coming up:
- Test Friday October 5th on sets and functions
- Midterm coming up next Friday (October 12th)

Posting for Points:
What material will be on the test this Friday?

Stuck in the Airport

I am stuck in the airport until late tonight and packed away the answers to your review sheet in my suitcase.....therefore, your test has been moved to Friday!!! I'm sure that you are all very disappointed.

See you tomorrow!

Coming up:
-Test Friday!

Posting for Points:
Who has the worst luck with flying?

Usual Day at Unusual School

Today I answered any questions still remaining about concepts for the chapter 2 test. Please keep in mind that I will not be here Monday and Tuesday of next week, but we will still have a test on Wednesday!
After questions we put on a small classroom "play" of A Usual Day at Unusual School. The objective was to figure out who was a "bright" and who was a "brave." This was just a review of how truth tables work. Be sure you review old material because the tests are cumulative.

Coming up:
- No homework tonight!
- Tomorrow be sure to meet OUTSIDE at the picnic tables. We will then walk over to the courtyard steps by the gym! Be on time!

Posting for Points:
Where do we meet tomorrow?

Group Experts

Today each of you became an expert for one section of the recent material. Sections covered in the review groups were: sec. 2.1, 2.2, and 2.3. Keep your "perfect notes" in a safe place! We will not be moving on to any new material before the next test.
Keep in mind that you should be studying NOW for the test. I will not be in class Monday or Tuesday, but the test will be Wednesday. You will have a review sheet next week and answers will be provided prior to the test.

Have a great day!

Coming Up:
- Homework: You have no homework other than studying for the test!
- Test will be one week from today (October 3rd)

Posting for Points:
When is the next test?

Test Prep

Today we went over the homework dealing with onto and one-to-one functions, as well as ceiling and floor functions. Be sure to check your homework if you were not in class today. We did not go over any new material and we will not start anything new until after the test. That gives us several days to review (and we still have a few activities dealing with this material).

For homework everyone should generate 3 questions about the material (sets or functions) that you do not completely understand. We will begin reviewing tomorrow in preparation for the BIG TEST next week. The test will cover mainly sets and functions, but remember that the old material from propositions and fair division might be on there (as the cumulative questions). Your questions for homework can be directly about the material (ex. what is a ceiling function), or they can be book problems that you still do not understand.

Have a great day!

Coming up:
- NO HOMEWORK tonight unless you did not finish your 3 questions in class!
- We will have a big test next Friday (October 5th), or possibly Wed. (Oct. 3rd)

Posting for Points Question:
How many questions do you need to generate for homework?

Onto and One-to-One

Today we looked at onto functions and one-to-one functions. Although these two definitions can be confusing, the reference pictures on page 139 should prove to be helpful. Remember that a function is onto if every y is used, and a function is one-to-one if each y only has one arrow pointing at it. We also briefly discussed ceiling and floor functions.

Have a great week!

Coming up:
- Homework: pg. 146 #'s 8-11, 32
- Remember to make up your quiz by Wed. if you have not already
- We will have a big test next Friday (October 5th)

Posting for Points Question:
Is this function onto or one-to-one: (a, 1); (b, 2); (c, 1) Domain: {a, b, c} Range: {1, 2}

Fun Friday

Everyone seemed to do well on their functions quiz today. You will get them back on Tuesday assuming everyone has taken it by then. If you did not take the quiz, you have until Wed. to make it up.

After the quiz we watched part of Numbers dealing with Fair Division. Be sure you remember all of the old material as tests will be cumulative.

Have a great weekend!

Coming up:
- If you did not take the quiz today, you have until Wednesday!
- Monday we will begin incorporating Sets with Functions

Posting for Points Question:
Each day you will find a question here that relates to the notes from that day. You must respond to at least 3 each week to recieve credit for this portion of your homework grade. Responses are created by clicking on comment.

For today just post a comment saying HI!

Welcome!

Welcome to the Discrete Math Blog.

The main purpose of this blog is to allow anyone that misses class to see what material we covered, as well as find some notes and diagrams used during that day's lesson.

There will also be questions posted each day. You MUST answer at least 3 questions each week as part of your weekly homework grade. You should check this website often for updates and notes!